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22654153140 = 22352342138993
BaseRepresentation
bin10101000110010010…
…101111000110110100
32011110210210012212220
4111012102233012310
5332343430400030
614223541042340
71431251060463
oct250622570664
964423705786
1022654153140
119675751613
1244829b63b0
1321a052b458
14114c9c29da
158c8c96a10
hex5464af1b4

22654153140 has 96 divisors (see below), whose sum is σ = 66348446976. Its totient is φ = 5764577280.

The previous prime is 22654153139. The next prime is 22654153147. The reversal of 22654153140 is 4135145622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22654153147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561484 + ... + 600476.

It is an arithmetic number, because the mean of its divisors is an integer number (691129656).

Almost surely, 222654153140 is an apocalyptic number.

22654153140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22654153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33174223488).

22654153140 is an abundant number, since it is smaller than the sum of its proper divisors (43694293836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22654153140 is a wasteful number, since it uses less digits than its factorization.

22654153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39449 (or 39447 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 22654153140 its reverse (4135145622), we get a palindrome (26789298762).

The spelling of 22654153140 in words is "twenty-two billion, six hundred fifty-four million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 421 460 690 842 1263 1380 1684 2105 2526 4210 5052 6315 8420 9683 12630 19366 25260 29049 38732 38993 48415 58098 77986 96830 116196 116979 145245 155972 193660 194965 233958 290490 389930 467916 580980 584895 779860 896839 1169790 1793678 2339580 2690517 3587356 4484195 5381034 8968390 10762068 13452585 16416053 17936780 26905170 32832106 49248159 53810340 65664212 82080265 98496318 164160530 196992636 246240795 328321060 377569219 492481590 755138438 984963180 1132707657 1510276876 1887846095 2265415314 3775692190 4530830628 5663538285 7551384380 11327076570 22654153140